Rule itor msasitbihg weir discharge



1. M. CLAUSE-N El' AL RULE Fon MEASURING #JEIR .DISCHARGE Filed July'le, 192s l 6. .M l 5 /s w, l izq- 1 Y @a use. ia, ieaa i i 'f 1 1,335,892

mirra s IN'GARD M, CLAUSEN AH) RALPH A. EERGE, OF PHOENX, ARIZONA RULE non Maasnniive viaria niscnnnen Appiicanon sies Jaiy ie, i926. serial no. 122,994.

This invention relates to/the art of obtainhowever, the knowledge of a trained engineery ing accurately measured quantities of water and cannot be made by ordinary laborers of flowing over a weir, whether of the submerged grade school education. Furthermore, when or ree-ilowiiig type, and'is an improvement a specified measured quantity of water is de- 5 on our application Serial No. 658,105, filed sir-ed to be delivered into a lateral, repeated 55l Aug. 18, 1923. measurements have to be made and the height Heretofore authorities have regarded subof the water in the main channel varied until merged weirs as impractical for use in locathe desired quantity is found to be delivered tions where it was desired to obtain accuto the lateral.

19 rately measured quantities of water flowing In the case of a submerged weir, the factors 60 over the weir, and such authorities have vaentering into a determination of the amount ried widely in regard to the best methods to of water delivered over the weir are (1) the pursue in obtaining measurements that would head of the water upstream from the weir, even be approximately correct. In irrigation (2) the head of the water downstream from 15 projects, where water is taken from a main the weir, and the velocity of approach. 65 or supply channel and diverted into lateral The velocity of approach is determined in channels for the purpose of irrigating land, the same manner as in connection with the the demand is for the supply of an accurately free-flowing weir and is subject, therefore, measured quantity of water as required by to the same variations and inaccuracies beh the land owner. In free-flowing weirs, theV iore indicated, unless a measurement and cal- 70 Hist-Md fOlOWed Il primi/ical operations has culation of the velocity of approach for each been to ascertain by repeated measurements delivery 0f wai-,er into the lateral are made.A for each weir used, the value of the two neces- The heed of the water upstream from the y sary factors in determining the amount of Weir is measured some considerable distance 2u Water 193353395 @Ver the Wefa t0 Wit the VGOC- from the weir, and likewise the head ofthe 75 ity 0f th@ aPlQIOfilCh 0f the Wlten the Channel water downstream from the weir is takenv at above the weii' and the head above the crest e Considerable distance from the Weir,Y The of the weir. Ordinarily, an engineer takes proper distance downstream at which to take.

measurements some distance upstream IOIII the head is a matter of controversy between 33 the Weir to ascertain the velocity of the ap- Various authorities' and with Widely differ." 80'l preach of the Water, and this, 011C@ @SW1P ing results. Furthermore, as in the case of a lished, is used for some considerable period fyeeqiewing Weirthe height ofthe submerged; 0f m- But the VelOGily'Of aPlUOflCh in l weir or of the water flowing over the weii1f i Cha-11nd Valds matelauy at dfeI'eDt 19e* has .to be varied untilv experimental measure-` n.

57;.' iiOdS beCLHS@ 0f Changing CODOPS in the ments determinejthat thel amount of water 85 Chml du@ t0 the'growth 0f VJfgetatlqn along delivered is the measured quantity desired, the banks theeofi th tepodlt of Sdi-'i md and this latter determination, it is univerther Causes sofhathe Veloclty of apprach sally agreed by the best authorities, is so in.

m 1S Constaly Ctangmgd Ewurtiemorg a accurate that submerged weirs have hereto U practical in actual commercialoperations.l

practice to measure the level of the water A l some considerable distance upstream from one of tie Oblectsofhthereserit lrllventlon the weir. `With the data secured bythe meas- 1S t0 provlke means Erle ytfltlmg @,mefi ureinents indicated, giving the velocity oit urement ta en lmme 139,373 l e Wen' W1 95l approach and thehead of the water above afford data WhelieloyY an accurate Calculatqn the weir, a trained engineer can calculate 0f the nflOUlt 0f WltelOWmg 'OVGI a Well with a fair degree of accuracy the amount Ola: any glVeIl dlIIleIlSloIlS mayhemade, thus of water delivered over a ree-i'iowing weir eliminating the necessity of taking moasuref in a vgiven time, such calculations requiring, ments to determine the velocity of approachioo or the head of the water either up or downstream from the weir.

Another object is to provide means whereby such measurements may be taken and accurate calculations made to det-ermine the amount of water passing over a weir, whether ofthe free-iiowing or submerged type, by an ordinarily well-informed school boy and without the necessity for technical training along engineering lines or a. knowledge of higher mathematics.

A further obj ect is to provide means whereby the amount of water flowing over a submerged weir may be determined as readily and as accurately as such determinations have heretofore been made in connection with freeflowing weirs.

A still further obj ect of the invention is to provide a sim-ple, portable, measuring device, readily handled by the attendant in making the measurements and in moving from weir to weir. y

Other objects of the invention will appear as the 'description of the invention proceeds.

N ith theseobjects in view, the invention consists, generally stated, of a compound measuring rule for measuring water passing over a weir, said rule embracing two elements in the form ofnarrow bars of wood or other suitable material of uniform width and ad? justably secured together, so as to slide. the one longitudinally with relation to the other. These bars may be of any suitable width and, for the purpose of describing the invention and in practice, we employ bars an inch and three-eighths in width and approximately three-fourths of an inch thick. These two bars are clamped together by a suitable clamping device which enables them to be adjusted ltoany desired longitudinal position withrelation to each other and then secured in that position. Oneof these bars has any ordinary'linear scale, such for example as an inch scale, though manifestly it might be any other scale, such as the metric scale. Such Vscale is preferably placed on both sides of the upward.

, The second bar is provided with a logarithmic scale reading from zero upward to any desire-d extent, the zero end of the scale being at the lower end of' said second bar. rlhe construction of this logarithmic sca-le is based on certain discoveries which we have made. wWe have discovered that, if this stick or measuringV rule be placed on the crest of the Weir, the maximum runup or surge of the water on the upstream side of the bar will. go somewhat above the head of the water in the channel above the weir. We have further discovered that the distance from the crest of the weir to the top of the maximum surge may be substituted for the head and velocity of approach in formulae for calculating the amount of water discharged over the weir. If a measuring rule be placed in the channel immediately over a su binerged weir, and resting on the crestof the weir, water will surge or run up against said measuring rule to an appreciable height. On the downstream side of the rule and close to the same, there is formed a comparatively stilled level surface of water readily distinguishable from the -flow of the water around the rule on either side thereof, and we employ the distance between the maximum or uppermost point of the surge and the level of this still surface in determining the amount of water flowing over a sul.;- merge'd weir. This is done in the following manner. 7e have discovered by repeated experiment that the level of the above-mentioned still surface may be treated as the level of the water downstream below the weir from which the downstream head77 may be calculated, and that all of that portion of the water flowing over the weir below said level may therefore be treated as flowing through a rectangular orifice whose dimensions are the width of the wcir and the distance between said still surface and the crest ef the wcir; and that all of that portion of the wa flow ing over the weir above said still sui ce may be treated as water passingover afree-flewe ing weir. 7e have also discovered that the distance between the maximum surge and the level of said still surface in making the c l culations as to the water that wend i through the orifice may be employed in the formulae in making' the calculation as a substitute for the head and velocity of app-reas and furthermore that in calculating that tion of the water which is to be treated passing over a free-iiowi weir, said d may be substituted' in the 'formula for the head and velocity of approach.

The inventive idea may be variously eri-- plcyed and various forms of measurinf-r l vices may be employed in carrying out the iaventive idea, without departing from the spirit of the invention. In theaccon L, ing drawings, onefform which the appa of the invention may assume is illustrate.y for the purpose of description, but it is to be ei;- pressly understoed that such drawings not designedto define the limits of the il L tion, reference being had to the :tp-pen claims' for this purpose. In said drawings- Fig. 1 is a perspective. of our improved measuring rule;

Fig. 2 is a like view illustrating tlieriiianaH ner of using the same over a' weir;

Fig. 3 is a broken perspective shown-ial the backl or downstream side of the rule or suck with. a. linear scale thereon;

Fig. 4 is a side view of the rule in position the still surface on the downstream side of therule;and Y v Fig. 7 is a perspective detail well with parts broken away. Y n

In said drawings, 'like numerals indicate like parts throughout the'several views. We prefer to employ a bar l, preferably, though not necessarily, about one and threeeighths inches in width and about three-fourthsof an inch thick, and on each of the opposite faces of said bar (only one of which is shown in the drawings) we place a linear scale 2, which scale is here shown as aninch scale, though a metric or any other desired linear scale could be employed. A second bar 3, of like dimensions-with said bar l, is secured to the bar l by means of suitablev guides l and 5, the guide 4 being preferably se.- cured to the bar 3 and the guide 5 to the bar l, so as to embrace and hold said Vbars closely face to face, but to permit them to slide longitudinally with relation to each other. ln one of these guides, here shown as the guide 5, a clamping screw 6 is mounted, by means of which the parts may be readily secured in any desired adjustment.

On the outer face of the bar 3 is a logarithmic scale 7 with the zero of the scale at the bottom or foot of the bar. This logarithmic scale 7 is a matter of importance and its construction will depend upon orbe based upon the unit of measurement employed, whether second feet, miners inches, or gallons per minute. ln the present instance we have chosen to illustrate the invention by employing the second foot as theunit. Let it be assumed that the formula for'calculating the flow of water over afweir known as of the stilling the Francis formula is to be employed. This formula is as follows:

Q=2v/30L,/2GH3/2` in which Q is the quantity of water discharged over the weir; C is the empirical coecient; L the length ofjthe weir; G the acceleration due to gravity; H the head; from which it follows thatl We have determined by a Vseries of experiments that in such a formula, the value of the empirical coefficient C (when the Aformula is calibrated ony arule which is may be employed, we prefer to adopt width of one and three-eighths inches, for which Vwidth the value of C we have determined by experimentto be .607.

Now, assuming this value of C,

earning L to be .71,V successively increasing` valuesof Q may be substituted in the above vformula and a series of corresponding values there will be provided a logarithmic scale indicating Ythe second feet of water passing over the weir, per unit of weir length, for eachl value of H. This is the logarithmic scale 7. When the bar, with the scale thus constructed, is placed in the channel on the crest of the free-flowing` weir, the surge or runup can be read on this logarithmic scale, and we have discovered, and verified by repeated experiment, that the reading on the scale 7 at the point of maximum surge or runup gives the actual amount of water discharged over the weir per unit of width thereof, and by multiplying this amount by the width of the weir expressed in the sam-e units, the actual amount of water flowing over the weir may be determined without the necessity of any correction for velocity of approach.

Associated with theV logarithmic scale 7 is a second logarithmic scale 8 which, for convenience, is here shown .as placed on the edge of bar 3, that is, the same bar upon which the logarithmic scale 7 is placed, the dir-.1isions of each of the scales extending to the angle of the bar between the two scales so that the two can be read in conjunction one with the other for a purpose which will hereinafter appear. This logarithmic scale 8 has its zero point at the foot or bottom of the bar 3 and therefore coincides with the Zero point of the scale 7. While we prefer to place scale 8 as shown, it will be readilyappreciated that any other arrangement whereby the two scales can be placed side by side with a common zero point would serve the same purpose. f

Since the value of the maximum surge in eithera submergedor free-fiowing weiiI mar' vpartof the water falling over the crest of the weir between the crest and the level of the i still surface on the downstream side bar may beregarded as waterflowir a submerged rectangular orifice under a head equal to the distance between the level of the still surface and the top of the maximum surgejand it further follows that that portion of the water above the level ofthe still surface may be regarded as water passing over a free-flowing weir under the same head.

By ascertaining these two amounts and adding the same together, Vthe total amount of water passing over a submerged weir may thereforev be accuratelydetermined. lt is for the purpose ofA determining the amountof water that would pass throughthe rec tangularorifice that the scale 8 is employed. The construction of this scale is based upon the fact which we have discovered and verified by a large number of tests and experiments, that in the standard formula for calculating the amount of water passing` through a rectangular submerged orilice, the empirical coefficient C has a value of .589, which, however, is subjectto slight correction, dependent upon the relation of the width of the measuring rule to the width of the weir. lNe have further determined that, with weirs of the widths ordinarily employed and a measuring rule of a -width of one and threeeighths inches, this empirical coefficient should be corrected to .58. f Theoretically, a correction would have to be made for dierent weirs of different widths, but in actual practice this correction would be so small that, for variations which exist in weirs as ordinarily employed, this is negligible, and we have found that .58 as the empirical coeliicient will give results within 2% and even as low as one-fourth of 1% of the actual water flowing over the submerged Weir.

The standard formula for calculating the second feet of water flowing through a submerged rectangular orifice is wherein A is the area of the theoretical orifice, from which it follows that- Q 2 H (0m/2G) Assuming C has a value of .58, and that A is equal to 1, successive values of may be substituted inthe above formula and a series of correspondingvalues of l-I obtained, which may be laid ofl successively on the bar 8 as described above in connection with the scale 7, and which will constitute the logarithmic scale 8.

By placing the rule in its proper position on the crest of the weir as described hereinafter, and reading the maximum surge on the scale 7, and then by deterniining the reading of scale 8 which corresponds to said reading on scale 7, a value is obtained which indicates, in the terms of the unit of measurement chosen, the amount of water dischargedv per'square inch of orifice opening. ll ow, if the orifice descharge per square inch is multiplied by the depth of the orifice in inches, the orifice dischargeper linear unit of the weir is obtained. The amount of water discharged over the free-flowing Weir, per unitper unit of width, which, when multiplied byv the width of the weir, gives the total amount of water flowing thereover,

Any suitable means may be employed to cause the zero lineof each of the scales 7 and. 8 to exactly coincide with the bottom or foot of the linear scale bar 1. As here shown, a'strip of metal 9 is bolted or otherwise, secured toA the side of the scale bar 1 and bent at right angles across the foot thereof and mortised therein so that the lower surface of the bent strip of metal exactly coincides with the lowerV end of the bar 1. This strip ofy metal ente-nds across the bar 1 and across the whole or a portion of the bar 8, in which latter bar it is also inset so that the lower ends of the two bars 1 and 3 and the lower face of the metal strip 9 are all in the same plane. The end of the bent strip is then bent vertically downward, as at 10, to provide shoulder for ad- `insting the same against the face of the weir crest 11, so that it serves as a means to resist the force of the current.

As a convenient means of taking the still water level referred to above, we preferably attach a st-illing well to the downstream side of our rule. This well may be of any suitable construction and attached to the rule in any suitable manner. Preferably, however, we provide a removable stilling well illus-4 trated in Figs. 5 and 6, and shown as applied to the linear rule bar 1 in Fig. 2. A plate or board 12, preferably beveled on the upstream face thereof, is applied to the upstream face of the bar 1. This board may vary in width to suit the varying conditions due to the varying quantities of water that would flow over the' different weirs, but for all ordinary purposes in irrigating systems it may be aproximately four inches in width. Gn the downstream side of the bar 1 we apply a bucket 18, preferably made of lsheet metal and having outwardly flaring ears 14 as shown in Fig. 5. The bucket is placed on the downstream side of bar 1, which it straddles and lits closely, and the ears 14, 14 take under two rails 15, 15 which are slightly spaced from the surface of the board 12. Said bucket 13 has a transversely extending bar 16 connecting the sides thereof and so positioned as to snugly lit the downstreamY face of the bar 1. This bucket is providedV with a bottom opening 17 (llig. 6), and preferably spring clamps 18 are provided on the board 12 above they bucket to snugly grasp theedges of the bar'l.

lWhen the parts are assembled .as shown in Fig. 2, tl e bucket 18 is entirely closed eX- cept at the top and the opening 17 in the bottom thereof, and when the current of water flows past the rule, as indicated in Figj.

2, the water will rise within the well and afford a still surface, the level of which may be easily read on the downstream face of the bar 1, and, as before described, the level of the water in this stilling well we have found by repeated experiments constituting the upper edge of that portion of the water flowing over a submerged weir to be on the line that may be treated as'flowing through an orifice opening.

The practical use of our improved Weir measuring rule would be as follows :-v

Free-flowing wete-For use on a free-flowing weir, the two'members 1 and 3 would be adjusted with their lower ends at thezero elevation, that is, with theirV lower ends lexactly coinciding, and the foot of the rule would be placed upon the crest of the weir with the logarithmicscale 7 .on the face of the rule turned upstream, and the maximum height ot' the up-run or surge on said scale noted. Let it be assumed that such maximum surge is at .2Q and thatv the width of the weir is 30 inches. Since the maximum upsurge indicates the number of second feet per inch of theweir, it is only necessary to multiply .2O by 30 to obtain the total discharge over the weir per second.

Submerged wen-For use in vconnection with a submerged weir, the parts are assembled with the stilling well on the rule'as shown in Fig. 2, the s'tilling well being adjusted upward onthe bar 1 to the approximate still water height when the foot of the rule is resting on the crest of the weir. The level of the still water in the stilling Well is then read on member 1 through the open top of the well, and the still well is then removed from the rule and the oot of the bar 3 is adjusted to that level. When so adjusted and with the foot of the linear scale 1 resting on the crest of the submerged Weir,

all that portion of the water, as above described, `below the :toot of the bar 3 may be treated as water flowing through a rectangular oriiice whose dimensions are the width of the Weir 'and the height of the bar 3 above the crest of the weir; and by observing the maximum uprun on the logarithmic scale'7 on the 'face of the bar 3, and checking the corresponding value of the logarithmic scale 8 on the edge of the bar, and multiplying this'latterV value by the area of the orilce, the discharge through the orifice portion of the weir is obtained. VAs before mentioned, the footV of thebar 3 when adjusted as last described may be regarded as resting upon 'I the crest ofV a free-flowing weir and the amount of the water passing overl the Weir above said foot can be calculated by observing the maximum uprun or surge on the scale 7 on the face of the .bar 3,'and multiplying this value by the width of the weir. These two amounts thus secured, when added together, will give, with great accuracy, the total amount of water passing over the weir per second. Y

It will be readily appreciated by those skilled in the art that the inventionV may-be embodied in various Lforms rand that vari# ous modifications maybe made in the details of construction as hereinbefore described without departing from thespirit of our "mf vention, and it is to be expressly understood that such variations and modifications as come within the spirit of our invention are intended toy be included in the terms of the accompanying claims.

lt will 'further be appreciated that the novel method hereinbeiore described and constituting a part of applicants invention may be carried out with a variety of apparatus, one form of which is shown in this application and another form of which is shown in applicants copening application Serial No. QYJOO, filed January 18', 1928, and applicants elect to claim their method inthe aforesaid copending application Serial No. 247 ,700.

lJVhat is claimed is Y 1. An instrument for measuring quantities of water flowing over a weil', adapted to be positioned vertically on the weir crest and calibrated to show, when thus positioned vertically with its zero point at the still water level at its down-stream face, the rate of water flow above said still water level corresponding to the height to which the water rises on its upstream face.

2. An instrument for measuring quantities of water flowing over a weir, adapted to be positioned vertically on a weir crest and'calibrat-edito show, when thus positioned vertically with its zero point at the still water level at its down-stream face,the rate of water low below said still water level corresponding to the height to which the water rises on its upstream ace.

3. An instrument for measuring quantities of water flowing over a weir and adapted to be positioned vertically on a weir crest, said instrument including means for determining the still water level at its downstream face and being calibrated to show the rate or" water flow above and below said level corresponding to the height to which the water rises on its upstream face when it is vertically positioned. on the weir crest with its zeropoint at said still water level. 4 Y

4. An instrument for measuring quantities of water flowing over a weir, adapted to be positioned vertically on a weir crest and calibrated to show, when thus positioned vertically with its aero point at the still water level at its down-stream face, the rates of water flow respectively above and below said still waterlevel corresponding to the height to which the water rises on its upstream face.

5. An instrument for measuring quantities of vwater flowing over a weir, adapted to be positioned vertically on a weir crest and calibrated to show, when thus .positioned vertically with lits zero point at the still water level at its down-'stream face, the rate of water flow per unit oi' weir length above, and the rate per unit of area below, said still water level corresponding to the height to which the water rises on its upstream face.

6. In apparatus for obtaining measured y"quantities of water flowing over a weir, a

member adapted to be disposed vertically above Athe Weir crest to act as an obstruction ytothe flowing water whereby a surge is created on the upstream face thereof, said memloer bearing a scale calibrated to show the rate of water flow corresponding to the height Iof said surge.

7. In ap aaratus for vobtaining measured quantities of water flowing over a weir, a member adapte-d to be disposed vertically above the weir crest t0 act as an obstruction t'o the flowing water whereby a surge is created on 'the vupstream face thereof, said nrember bearing a scale adapted to show tne rate of water flow, per unit ot weir length, corresponding to the height of said surge.

8. In apparatus for obtaining measured quantities of water llowing over a weir, a member adapted to be disposed vertically above the weir crest to act as an obstruction to the water flow whereby a surge is created on its upstream face, said member including an adjustable scale element whose zero point may be positioned at the still water level on the downstream side o1 said obstruction and said adjustable scale element bearing scales calibrated to show the rates o1"- water flow respectively above and below said still water level corresponding to the height of said surge when said element is adjusted so that its Zero point is at the-downstream still water level.

9. In apparatus for obtaining measured quantities 'of vater flowing "over a Weir, a member adapted to be disposed vertically above the weir crest to act as an lobstruction to the water flow whereby a surge is created on its upstream lace, said member including an'adjustable 'scale element whose Zero point maybe positioned at the still water level on the downstream side of said obstruction and sai-d adjustable scale element bearing scales calibrated respectively to show the rate of water iow, per unit oi weir length above lthe still water level and the rate per unit lot area below the Stillwater level, corresponding to the height of said surge when said element is adjustedso vthat its zero point is at Ythe down-stream still water level.

l0. In apparatus for obtaining measured quantities of water llowing over a weir, a member adapted to be disposed vertically above the 'weir crest to act as an obstruction to the vwater llow whereby a surge is created onthe upstream face of said obstruction, said member including an adjustable scale eleme'nt adapted 'to be positioned with its Zero point alt the still water level on the downstream face 'of said element, said member bearing a scale 'to determine the height of sa'idstill water level above the crest of the weir and Ysaid adjustable scale element being calibrated to lshow the rate oi' water flow,

l "er'unitofla'reabelowitszero aoint corresponding to the height 4of said surge when said element is adjusted so that its Zero point is at the down-stream still 'water level.

11. In apparatus for obtaining measured quantities of water tlowing over a Weir, a 4member adapted to be disposed vertically above the Weir lcrest to act as an obstruction to the water flow whereby a surge is createdfon the upstream face 'of said obstruction, said member including an Vadjustablescale element `adapted to be positioned with its zero .point at the still water level on the downstream ace of said element, said member' bearing a scale to determine the height oi said still water level above the crest of the Weir and said adjustable scale element being 'calibrated toY show the rate of water vflow, per

unit of wei'r length above its zero point, corresponding to the 'height of said surge when said element is adj usted so that its zero point is at ythe down-stream still waterlevel.

12. lnapparatus for obtaining measured quantities oll water flowing over a Weir, a member adapted to be disposed vertically above 'the weir crest 'to act as an obstruction to the water flow whereby a surge is created on the upstream face of said member, and means for determiningthestill water level 'on the downstream face of said member, :said member including an adjustable sca-le element adapted 'to be positioned withi-ts Zero point at the determined still water level and cali`` brated to -sliow'the rates of walter How, respectively 'above and below said rstill water level, corresponding to the height of said 'surge when said element is adjusted so that its zer-o pointis ilat the 'down-stream Stillwater level.

13. In apparatus for obtain-ing measured quantities tot water Aflowing over either a sub'- merged Jor -`a tree-flowi`ng weir, 'a lmember adapted to be disposed vertically above 'the weir crest tto fact as an obstruction tothe flowing rwater whereby la surge is created o'n its upstream face, said member includingan adjustablescaleelement adapted tobe so positioned that iits "Zero point is either at the we'ir crest orfaft the still water'level on the downstream face of said member andeca'librated to show the rates 4`of water i'lo'w, 'ree spectively aboveand below its zero point, corresponding to lthe height of said surge whe'nsaid element is adjusted so that itszero point is-attheldown-stream 'still water level.

lll. In apparatus for obtaining measured quantities of water flowing over either a'submerged or a free-flowing weir, a member adapted to be disposed vertically-above the weircrest'to-act asfan obstruction to the vflowing water whereby a surge is created on its upstreamjface, said member Vincluding an adjustable scale elementfadaptedfto be so positioned that its zeropoint isfeither-at the Weir crest or at the still water 4level on the downstream face 'of said member and calibrated to show the rates ofwater "flow, respectively above and below its zero point, corresponding to the height of said surge when said element is adjusted so that its Zero point is at the down-stream still water level, said member bearing a further scale for measuring the height above the weir crest of the Zero point Vof said first-named scale.

15. In apparatus for obtaining measured quantities of water flowing over either a sub-V merged weir or a free flowing weir, a member adapted to be disposed vertically above the weir crest to act as an obstruction to the flowing water whereby a surge is created on its upstream face, said member including an adjustable scale element adapted to be positioned with its Zero point either at the crestV ,of the weir or at the still water level on the downstream face of said member and calibrated to show the rates of water flow, per unit of weir length above its Zero point and per unit of area below its Zero point, corresponding to the height of said surge when said element is adjusted so that its Zero Vpoint is at the down-stream still water level.

16. In apparatus for obtaining measured quantities of water flowing over either a submerged weir or a free flowing weir, a member adapted kto be disposed vertically above the weir crest to act as an obstruction to the flowing water whereby a surge is created on its upstreamv face, said member including an adjustable scale element adapted to be positioned with its zero point either at the crest of the weir or at the still water level on the ldownstream face of said member and calibrated to show the rates of water flow, per unit of weir length above its zero point and per unit of area below its zero point, corresponding to the height of said surge, when said element is adjusted so that its zero point is at the down-stream still water level and said member bearing a further scale for measresponding to different surge heights when the members are disposed vertically above the weir crest.

18. ln an apparatus of the character described, the combination of two elongated scale members longitudinally adjustable with relation to each other, one of said members having a linear scale thereon and the other having two scales thereon with a common Zero point, one of said two scales being calibrated to show the rates of water flow above its zero point corresponding to different surge heights and the other being calibrated to show the rates of water flow below its zer-o point corresponding to said surge heights when said members are disposed vertically above a weir crest with the zero point ofthe two-scaled member at the down-stream still water level.

19. In an apparatus of the character described, tie combination of a vertical bar having a linear scale thereon, with a stilling well vertically adjustable on one side of said bar. Y

2O. ln apparatus-for obtaining measured quantities of water flowing over a weir, a member adapted to be disposed vertically above the weir crest to act as an obstruction to the water flow whereby a surge is created onthe upstream face of said obstruction, said member including an adjustable scale element adapted'to be positioned withv its zero point at the stilly water level on the downstream face of said element, said member bearing a scale to determine the height of said still water level above the crest of the weir and said adjustable scale element bearing scales respectively calibrated to show the rate of water flow, per unit of area below its Zero point and per unit of weir length above its Zero point, corresponding to the height of said surge.

. 21. An elongated instrument for measuring quantities of water flowing over a weir and adapted to be positioned vertically on the weir crest so as to produce a surge on its upstream face, said instrument including means for determining the still water level on its downstream face and a scale element adapted to be positioned with its zero point at either the weir crest or the deter- Y mined still water level and calibrated to show the rate of' water flow per unit of weir length above, and the rates per unit of area below, its zero point corresponding to the height of the surge rising on its upstream face when it is positioned vertically above the weir crest with its zero point at the clown-stream still water level, said instrument also having a scale to measure the height of said zero point above the weir crest.

22. An elongated instrument for measuring quantities of water flowing over a weir and adapted vto be positioned vertically on the weir crest so as to produce a surge on its upstream face, said instrument including means for determining the still water level on its downstream face and a scale element adapted to be positioned with its zero point at the determined still water level and calibrated to show the rate of water flow per unit of weir length above, and the rates per unit of area below, its zero point corresponding to the height of the surge rising on its upstream face when it is positioned vertically above the weir crest with its zero point at the down-stream still water level.

23. As a new article of manufacture, a weir discharge rule comprising an elongated mem-ber provided With a broad face, said face having thereon a scale of .graduations and indicia applied thereto and adapted to indicate at the point of registration of Vthe maximum surge of the liquid on the member, When the rule placed in a vertical position in the -Weir With its lower end on the Weir crest, the 'amountof Water discharged per unit of Width of the notch.

24. The combination With means providing a Weir notch, o1"- an elongated member vertically pesitioned in the notch With one end resting on the crest of the notch, said member eing provided With a broad face, said face having thereon a scale of graduations and indicia applied to the graduations and adapted to indicate at the point of registration of the maximum surge of the liquid on the member when the member is thus positioned theemonnt of Water discharged per unit of Width of the notch.

In testimony whereof We have signed this spcciication.

INGARD M. CLAUSEN. RALPH A. PlERCE. 

